**Statistical Analysis of Traffic Flow in Austin and Dallas**To investigate the traffic flow at signal lights in Austin and Dallas, we compare the average number of cars per minute passing through these lights. The data is based on samples from both cities and analyzed at the 91% confidence level to determine if there is a significant difference between the traffic flows in these two towns.### Data Summary- **Austin Sample**: - Number of lights: 33 - Average cars per minute: 46 - Standard deviation (SD): 3.4- **Dallas Sample**: - Number of lights: 34 - Average cars per minute: 44 - Standard deviation (SD): 1.4### Hypothesis Test1. **Type of Test**: - The test is two-tailed, which means we are checking for any significant difference in either direction between the two means (Austin vs. Dallas).2. **Critical Value**: - The critical value for this test, given the 91% confidence level, is 1.7210. This value is essential in determining the rejection region for the null hypothesis.3. **Test Statistic**: - The calculated test statistic is 3.1652. This value indicates how many standard deviations our sample mean difference is away from the null hypothesis.4. **P-Value**: - The three-decimal p-value needs to be calculated to understand the probability of observing the observed result under the null hypothesis.### InterpretationA comparison of test statistics and the critical value will inform us whether to reject the null hypothesis, suggesting a significant difference in traffic flow rates between Austin and Dallas. The final p-value will provide further confirmation of the statistical significance of the test result.

given data x¯1 = 46s1 = 3.4n1 = 33x¯2 = 44s2 = 1.4n2 = 3491% ci.α = 1-0.91 = 0.09claim : μ1 ≠ μ2

Answered: A sample of 33 lights in Austin gives…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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